When you think Tim McGraw, you’re not only thinking one of Taylor Swift’s favorite songs.

You’re thinking a singer who has had a career that young Ms. Swift can yet only imagine. Since his debut album in 1993, McGraw has scored 30 No. 1 country hits and sold more than 40 million albums.

He has earned three Grammys, two for vocal collaborations with his similarly successful wife, Faith Hill, and one for one of America’s favorite songs, the inspirational anthem “Live Like You Were Dying.”

McGraw and longtime pal Kenny Chesney (and Swift, of course) are among the rare present-day Nashville performers who can sell out large venues like Cricket Wireless Amphitheatre, as McGraw did a year ago. (He makes a repeat appearance Sunday.)

Somehow, the Louisiana native finds time to lend support to the victims of the ongoing tornadoes and flooding in his home area, much as he did in the aftermath of Hurricane Katrina and after last year’s freak Nashville floods. And, most important, to raise his and Hill’s three children.

“When it gets close to the end of the school year, it gets pretty crazy,” McGraw said in a phone interview from a plane headed from Nashville to Peoria, Ill., having spent the previous day performing at a benefit concert and also attending a daughter’s field day.

“We have three daughters. They all have end-of-the-year dances, field days, parties. And my wife’s in the middle of her doing a record.”

Even with Daddy’s busy concert schedule, the McGraw-Hill bunch gets to see him often, he said, because “I fly in and out every day, pretty much. And every now and then one or two of them will come with me, but they have their own life.

“The oldest one’s 14. She starts high school next year. And the middle one’s 13 and the baby’s 9. So they’re full-on in social mode now.”

Currently, McGraw, who was raised in the small Louisiana town of Start, is back in social-good mode.

“I’m very lucky to be able to do it,” he said. “I’ve been put in the position that I can help, and not only monetarily. I have a voice. I can get attention. It’s good to be able to do that. If you’re going to use it for anything, it seems to me that that’s the thing to use it for.

“I grew up in a community that was about helping people. Faith and I both grew up in small, rural communities, and that was really our way of life.”

His upbringing informs his most recent studio album, “Southern Voice,” which may be McGraw’s last for his longtime label, Curb Records. (His hoped-to-be-forthcoming album, “Emotional Traffic,” is tied up in litigation, with Curb claiming that the material is too old.)

“Sometimes it can explain where you’re at in your life,” said McGraw, 44. “I think the ‘Southern Voice’ album was sort of coming to the end of an era for me, as far as being on the same label for so long and having one more record to go on that label. And being in my 40s and having girls that are growing up.

“I hate to use the term ‘coming into manhood,’ because I was a late bloomer, but it’s sort of an account of your life in a lot of ways. And I don’t mean that’s literal, by any means.”

“Emotional Traffic,” if it’s ever released (it does provide the title for McGraw’s summer tour), promises to represent a departure for the singer.

“I think it’s more fun, my upcoming album. Now that I’ve established that I’ve grown up a little bit, now that I have that anchor to me, now I can go have some fun,” McGraw said with a laugh.

“There’s some heavy things, too. I mean, I like heavy things. That’s a part of who I am; it’s sort of the manic-depressive in me. I lean toward the dark sometimes.

“But just as effortlessly and as quickly, I can go to the light. And I think that this album has a lot more of the light in it, and a lot more fun in it.

“The ‘Emotional Traffic’ album, sonically, it’s just uplifting,” he added. “It’s one of those albums where you want to put your headphones on and it doesn’t really matter what the lyrics are, the grooves are so cool.”